Average Error: 0 → 0
Time: 1.1s
Precision: 64
\[\left(x \cdot 0.5\right) \cdot x\]
↓
\[x \cdot \left(x \cdot 0.5\right)\]
\left(x \cdot 0.5\right) \cdot x
↓
x \cdot \left(x \cdot 0.5\right)
double f(double x) {
        double r8020 = x;
        double r8021 = 0.5;
        double r8022 = r8020 * r8021;
        double r8023 = r8022 * r8020;
        return r8023;
}
↓
double f(double x) {
        double r8024 = x;
        double r8025 = 0.5;
        double r8026 = r8024 * r8025;
        double r8027 = r8024 * r8026;
        return r8027;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0

    \[\left(x \cdot 0.5\right) \cdot x\]

  2. Final simplification0

    \[\leadsto x \cdot \left(x \cdot 0.5\right)\]

Reproduce

herbie shell --seed 2019179 
(FPCore (x)
  :name "System.Random.MWC.Distributions:blocks from mwc-random-0.13.3.2"
  (* (* x 0.5) x))